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Aviation Selection Test Battery Exam
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Question: 1
A. x = -12
B. x = -8
C. x = -14
D. x = -10
Answer: C
Explanation:
The solution of f(x) = g(x) can be determined by setting the two functions equal to one another. Thus,
the following may be written 3x + 6 = 2x — 8. Solving for x gives x = —14
Question: 2
Suppose the area of the square in the diagram to the right is 64 in2. (The square is not shown actual
size.) What is the area of the circle?
A.
B.
C.
D.
Answer: A
Explanation:
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Question: 3
Solve for x in the following inequality: 4x + 23 > —3x — 6
A. x > -4.14
B. x < -4.14
C. x > 4.14
D. x < 4.14
Answer: A
Explanation:
A: First, bring the —3x to the left side of the equation and the 23 to the right side of the equation to
make it easier to solve:
Question: 4
If 2x + 5x = 3x + x + 30, what is the value of x?
A. 2.72
B. 4.29
C. 6
D. 10
Answer: D
Explanation:
First, bring all of the terms containing x to the left side of the equation to make it easier to solve:
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Question: 5
A. 221
B. 461
C. 872
D. 1916
Answer: B
Explanation:
First, substitute the given values into the expression and then follow the order of operations to simplify:
Question: 6
At a school carnival, three students spend an average of $10. Six other students spend an average of $4.
What is the average amount of money spent by all nine students?
A. $5
B. $6
C. $7
D. $8
Answer: B
Explanation:
The average is the total amount spent divided by the number of students. The first three students spend
an average of $10, so the total amount they spend is 3 × $10 = S30. The other six students spend an
average of $4, so the total amount they spend is 6 × $4 = S24. The total amount spent by all nine
students is $30 + $24 = $54, and the average amount they spend is S54 ÷ 9 = $6.
Question: 7
A. 279
B. 285
C. 337
D. 505
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Answer: C
Explanation:
First, substitute the given value of w into the expression each time it appears. Then, follow the order of
operations to find the result:
Question: 8
If x/3 + 7= 35, what is the value of x?
A. 9.33
B. 14
C. 84
D. 126
Answer: C
Explanation:
First subtract 7 from both sides to isolate x:
Question: 9
A. x = -3,-4
B. x = 3,4
C. x = 3,-4
D. x = -3,4
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Answer: B
Explanation:
First bring all terms to the left side of the equation and combine like terms to make it easier to factor:
Question: 10
If x is 25% of 250, what is the value of x?
A. 62.5
B. 100
C. 1000
D. 6250
Answer: A
Explanation:
Another way of expressing the fact that x is 25% of 250 is: x = (0.25)250
Then, it is simply a matter of multiplying out the right side of the equation: x = 62.5
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